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Finding the Fourth Proportional to 12,970.98, 19,464.03 and 5,474.08

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Solution

The fourth proportional to 12,970.98, 19,464.03 and 5,474.08 is: 8,214.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,970.98 : 19,464.03 = 5,474.08 : x
  2. Step 2: Convert to fraction form
    12,970.98/19,464.03 = 5,474.08/x
  3. Step 3: Cross multiply
    12,970.98x = 19,464.03 × 5,474.08
  4. Step 4: Simplify right side
    12,970.98x = 106,547,657.34
  5. Step 5: Solve for x
    x = 106,547,657.34/12,970.98
  6. Step 6: Final answer
    x = 8,214.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.